Painting a cube

Q) In how many ways can you colour the faces of a cube with six di
erent colours, if all the faces
are to have a di
erent colour ?

i am getting 30 .

guys, plz try and tell me your answers.

4 Answers

1
johncenaiit ·

how are u getting 30 ?

i'm getting 1 (if the cube is not fixed)
and 6! (if the cube is fixed)

correct me if i'm wrong......:)

1
johncenaiit ·

oh....no......sorry for my old post....

there are 24 orientations of a cube
so 6!/24 = 30 ways.....

1057
Ketan Chandak ·

First paint any colour on any face.....Now the opposite face can be painted in 5 ways(with any of the remaining 5 colours).Now the remaining faces can be painted with the remaining 4 colours in (4-1)! ways(circular permutations)...

final answer is 5 x (4-1)!=30 ways.... :)

262
Aditya Bhutra ·

thnx guys.

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